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Finding the Third Proportional to 42,659 and 62,894

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Solution

The third proportional to 42,659 and 62,894 is: 92,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,659 : 62,894 = 62,894 : x
  2. Step 2: Convert to fraction form
    42,659/62,894 = 62,894/x
  3. Step 3: Cross multiply
    42,659x = 62,894 × 62,894
  4. Step 4: Simplify right side
    42,659x = 3,955,655,236
  5. Step 5: Solve for x
    x = 3,955,655,236/42,659
  6. Step 6: Final answer
    x = 92,727.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.